Non-minimal Yang-Mills fields and dynamics

DOI10.1007/BF01231895zbMath0764.53020OpenAlexW2058599990MaRDI QIDQ1187491

Thomas H. Parker

Publication date: 22 July 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143971

zbMATH Keywords

dynamical systemsRiemannian 4-manifolds

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (17)

A symmetric family of Yang-Mills fields ⋮ Energy gap for Yang-Mills connections. I: Four-dimensional closed Riemannian manifolds ⋮ Prescribing topological defects for the coupled Einstein and Abelian Higgs equations ⋮ A conformally invariant gap theorem in Yang-Mills theory ⋮ Non-self-dual Yang-Mills connections with nonzero Chern number ⋮ On the structure of Yang–Mills fields in compactified Minkowski space ⋮ On the bifurcation theory of the Ginzburg–Landau equations ⋮ Some useful facts on invariant connections ⋮ Non-existence and uniqueness results for boundary value problems for Yang-Mills connections ⋮ The Lee-Weinberg magnetic monopole of unit charge: Existence and uniqueness ⋮ Solutions to the minimization problem arising in a dark monopole model in gauge field theory ⋮ Existence, uniqueness, and equivalence theorems for magnetic monopoles in general (4p−1)-dimensional Yang–Mills theory ⋮ Yang-Mills fields which are not self-dual ⋮ A Morse theory for equivariant Yang-Mills ⋮ Prescribing zeros and poles on a compact Riemann surface for a gravitationally coupled Abelian gauge field theory ⋮ Morse theory for the Yang-Mills functional via equivariant homotopy theory ⋮ Twistor interpretation of harmonic spheres and Yang-Mills fields

Cites Work

• The principle of symmetric criticality
• Stability properties of the Yang-Mills functional near the canonical connection
• Stability and isolation phenomena for Yang-Mills fields
• Non-self-dual Yang-Mills connections with quadrupole symmetry
• Non-self-dual Yang-Mills connections with nonzero Chern number
• Solutions to Yang—Mills equations that are not self-dual
• Removable singularities in Yang-Mills fields
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